Bronn takes out a fully amortizing, $5/1$ hybrid, adjustable rate mortgage of $$178313\mathrm{.}48$ with $18-$year maturity.

The interest rate is indexed to SOFR and the margin is $3\%.$

At the time of the loan origination, SOFR is $1\%$; it is expected that SOFR will be $3\%$ at the end of the $5^{th}$ year.

Bronn's monthly payment during the $3^{rd}$ year of the mortgage equals $ $\_\_\_$ per month.